Seminars Sorted by Series

Celebration In Honor of the Frank C. and Florence S. Professorship

Oct
13
2022

Celebration In Honor of the Frank C. and Florence S. Professorship

MODULAR CURVES, MODULAR FORMS AND HECKE OPERATORS: OLD AND NEW
Winnie Li
3:00pm|Simonyi Hall 101

A. Ogg is well-known for his numerous accomplishments: the Grothendieck-Ogg-Shafarevich formula; the N\’eron-Ogg-Shafarevich criterion; Ogg’s formula for the conductor of an elliptic curve; the rational torsion conjecture for elliptic curves; and...

Celebration of Women in Mathematics

May
12
2021

Celebration of Women in Mathematics

Interview with Dr. Monica Vazirani
Monica Vazirani
1:00pm

Dr. Monica Vazirani is a professor at UC Davis.  She received her PhD from UC Berkeley in 1999, after which she had an NSF postdoc she spent at UC San Diego and UC Berkeley, as well as postdoctoral positions at MSRI and Caltech.  Dr. Vazirani's...

Character Varieties, Dynamics and Arithmetic

Nov
10
2021

Character Varieties, Dynamics and Arithmetic

Dynamics on character varieties
William Goldman
10:00am|Simonyi Hall 101 and Remote Access

In these two talks, I will describe how the classification of locally homogeneous geometric structures (closely related to flat connections) leads to interesting dynamical systems.

Many interesting dynamical systems arise from the classification of...

Nov
17
2021

Character Varieties, Dynamics and Arithmetic

Dynamics on character varieties
William Goldman
10:00am|Simonyi Hall 101 and Remote Access

In these two talks, I will describe how the classification of locally homogeneous geometric structures (closely related to flat connections) leads to interesting dynamical systems.

Many interesting dynamical systems arise from the classification of...

Dec
01
2021

Character Varieties, Dynamics and Arithmetic

Integral points on character varieties
Junho Peter Whang
10:00am|Simonyi Hall 101 and Remote Access
In this talk, we discuss the Diophantine study of relative SL2-character varieties of surfaces. In particular, we prove that the integral points on these varieties are effectively finitely generated in a precise sense, and in particular their...
Dec
08
2021

Character Varieties, Dynamics and Arithmetic

Effective mapping class group dynamics
Francisco Andres Arana-Herrera
10:00am|Simonyi Hall 101 and Remote Access
Motivated by counting problems for closed geodesics on hyperbolic surfaces, I will present a family of new results describing the dynamics of mapping class groups on Teichmüller spaces and spaces of closed curves of closed surfaces.
Dec
15
2021

Character Varieties, Dynamics and Arithmetic

The dynamics of Aut(Fn) actions on group presentations and representations
Alexander Lubotzky
10:00am|Simonyi Hall 101 and Remote Access

Several different areas of group theory, topology, and geometry have led to the study of the action of $Aut(Fn)$—the automorphism group of the free group on $n$ generators—on $Hom(Fn, G)$ when $G$ is either finite, compact or a simple Lie group. We...

Clay Research Conference - an Online Event

Sep
30
2021

Clay Research Conference - an Online Event

Gauge Theory and the Analytic Approach to Geometric Langlands
Edward Witten
4:00pm|Simonyi 101 and Remote Access

**Limited seating is available in Simonyi Lecture Hall and is by invitation only for IAS members or faculty. Remote access will be given to those that register.  Please contact Naomi Kraker at admin@claymath.org to receive the zoom link for the...

Sep
30
2021

Clay Research Conference - an Online Event

The Work of Buckmaster, Isett and Vicol and Presentation of the Clay Research Award to Tristan Buckmaster, Philip Isett and Vlad Vicol
Camillo De Lellis and Thomas Clay
5:10pm|Simonyi 101 and Remote Access

**Limited seating is available in Simonyi Lecture Hall and is by invitation only for IAS members or faculty. Remote access will be given to those that register.  Please contact Naomi Kraker at admin@claymath.org to receive the zoom link for the...

Cluster-Polyfold Setup for Langrangian Floer Homology

Collaborative Workshop in Algebraic Combinatorics

Collaborative Workshop in Algebraic Geometry

Jun
24
2024

Collaborative Workshop in Algebraic Geometry

9:00am|Simonyi Hall 101
Sponsored by the Minerva Research Foundation

Collaborative workshop to support women and gender-expansive individuals in Algebraic Geometry was held at the Institute for Advanced Study in Princeton, NJ the week of June 24-28, 2024. 

The purpose of the...

Collaborative Workshop in Several Complex Variables

Combinatorics of Fundamental Physics Workshop

Nov
18
2024

Combinatorics of Fundamental Physics Workshop

Organizers: Nima Arkani-Hamed, June Huh, Thomas Lam, and Bernd Sturmfels

This event aimed to foster collaboration between mathematicians and physicists. The focus was on the intersection of combinatorial geometry and fundamental physics, covering...

Nov
18
2024

Combinatorics of Fundamental Physics Workshop

Organizers: Nima Arkani-Hamed, June Huh, Thomas Lam, and Bernd Sturmfels

This event aimed to foster collaboration between mathematicians and physicists. The focus was on the intersection of combinatorial geometry and fundamental physics, covering...

Nov
18
2024

Combinatorics of Fundamental Physics Workshop

Organizers: Nima Arkani-Hamed, June Huh, Thomas Lam, and Bernd Sturmfels

This event aimed to foster collaboration between mathematicians and physicists. The focus was on the intersection of combinatorial geometry and fundamental physics, covering...

Nov
18
2024

Combinatorics of Fundamental Physics Workshop

Organizers: Nima Arkani-Hamed, June Huh, Thomas Lam, and Bernd Sturmfels

This event aimed to foster collaboration between mathematicians and physicists. The focus was on the intersection of combinatorial geometry and fundamental physics, covering...

Nov
18
2024

Combinatorics of Fundamental Physics Workshop

Organizers: Nima Arkani-Hamed, June Huh, Thomas Lam, and Bernd Sturmfels

This event aimed to foster collaboration between mathematicians and physicists. The focus was on the intersection of combinatorial geometry and fundamental physics, covering...

Combined Members’ Seminar and Mathematical Physics Seminar

Feb
18
2009

Combined Members’ Seminar and Mathematical Physics Seminar

Generalizations to Boltzmann-Maxwell Interaction Dynamics
Irene Gamba
11:15am|S-101

We shall revisit the Boltzmann equation for rarefied non-linear particle dynamics, of conservative or dissipative nature, and on the stochastic N-particle model, introduced by M. Kac [19]. Related to this equation, we consider a a probabilistic...

Complex Algebraic Geometry

Sep
27
2006

Complex Algebraic Geometry

Polarized Logarithmic Hodge Structures and Enlargements of Griffiths Domain
Sampei Usui
2:00pm|Simonyi Hall Classroom - (S-114)

In this talk, we have two subjects. I. Partial toroidal compactifications and moduli of PLH. II. The eight enlargements of Griffiths domain D and the fundamental diagram. For I, we have Theorem. For a given pair of global monodromy and fan, there...

Oct
04
2006

Complex Algebraic Geometry

Minimal Model Program in Dimensions 4 and 5
Valery Alexeev
11:00am|S-101

Main conjectures of (log) MMP are: A) existence of flips, B) termination of flips, and C) finite generation, all of which were settled by 1992 in dim 3 by Mori, Shokurov, Kawamata, Koll\'ar et al. In dim 4, A was done by 2005 due to Shokurov and...

Oct
18
2006

Complex Algebraic Geometry

Multiplier Ideals and Singularities
Nero Budur
1:00pm|S-101

The method of multiplier ideals is one of the most versatile tools to study singularities of varieties. For the local theory, we present a connection between multiplier ideals and D-modules based on joint work with M. Mustata and M. Saito which has...

Oct
25
2006

Complex Algebraic Geometry

Filtrations in Cohomlogy and Geometry
Mark de Cataldo
1:00pm|S-101

On a topological space, algebraic topology and homological algebra endow cohomology groups with various filtrations. In the case of algebraic varieties, one may wonder if such filtrations, e.g. the Grothendieck filtration, the Leray filtration, the...

Nov
01
2006

Complex Algebraic Geometry

Locally Residual Currents and Dolbeault Cohomology on Projective Manifolds
Bruno Fabre
1:00pm|S-101

First we define, for any analytic manifold $X$ of dimension $n$, locally residual currents; $C^{q,p}$ denotes the sheaf of locally residual currents of bidegree $(q,p)$. Then, we have a fundamental resolution of the sheaf of holomorphic $q-$forms $...

Nov
15
2006

Complex Algebraic Geometry

Compactification of Moduli Spaces of Drinfeld's Shtukas
Ngo Dac Tuan
1:00pm|S-101

In Lafforgue's proof of the Langlands conjecture for GL(2) over a functional field, an important step is to compactify the moduli spaces of Drinfeld's shtukas. In this talk, I will present a new approach to this problem using the Geometric Invariant...